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Finding the Fourth Proportional to 14,548.92, 20,077.65 and 8,261.34

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Solution

The fourth proportional to 14,548.92, 20,077.65 and 8,261.34 is: 11,400.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,548.92 : 20,077.65 = 8,261.34 : x
  2. Step 2: Convert to fraction form
    14,548.92/20,077.65 = 8,261.34/x
  3. Step 3: Cross multiply
    14,548.92x = 20,077.65 × 8,261.34
  4. Step 4: Simplify right side
    14,548.92x = 165,868,293.05
  5. Step 5: Solve for x
    x = 165,868,293.05/14,548.92
  6. Step 6: Final answer
    x = 11,400.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.